Continued fraction representation of the generating function of Bernoulli polynomials

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Titel:	Continued fraction representation of the generating function of Bernoulli polynomials
Autoren:	Pahirya, Mykhaylo M. Пагіря, Михайло Михайлович
Stichwörter:	Continued fraction Bernoulli numbers Bernoulli polynomials generating function continued fraction expansion of function continued fraction representation of function Неперервний дріб числа Бернуллі поліноми Бернуллі твірна функція продовження дробове розкладання функції представлення функції в неперервному дробі
Erscheinungsdatum:	2022
Zusammenfassung:	Continued fraction and quasi-reciprocal continued fraction expansions of the generating function of Bernoulli numbers have been obtained. The convergence and uniform convergence of continued fraction expansions have been proved. Representations of the generating function of Bernoulli polynomials in the form of the product of three continued fractions, as well as the product of three quasi-reciprocal continued fractions, have been found.
Beschreibung:	Pahirya М. М. Continued fraction representation of the generating function of Bernoulli polynomials / Mykhaylo M. Pahirya // Journal of Mathematical Sciences. - Vol. 262, No. 2, April, 2022. - Р. 194-206
URI:	http://dspace.msu.edu.ua:8080/jspui/handle/123456789/8973
Enthalten in den Sammlungen:	Статті

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